Solve -2^3*-8^2/-4^5

$$\frac{ - { 2 }^{ 3 \times - { 8 }^{ 2 } } }{ - { 4 }^{ 5 } }$$

Evaluate

$$\frac{1}{6427752177035961102167848369364650410088811975131171341205504}\approx 1.555753819 \cdot 10^{-61}$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{-2^{3\left(-64\right)}}{-4^{5}}$$

Multiply 3 and -64 to get -192.

$$\frac{-2^{-192}}{-4^{5}}$$

Calculate 2 to the power of -192 and get \frac{1}{6277101735386680763835789423207666416102355444464034512896}.

$$\frac{-\frac{1}{6277101735386680763835789423207666416102355444464034512896}}{-4^{5}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{-\frac{1}{6277101735386680763835789423207666416102355444464034512896}}{-1024}$$

Express \frac{-\frac{1}{6277101735386680763835789423207666416102355444464034512896}}{-1024} as a single fraction.

$$\frac{-1}{6277101735386680763835789423207666416102355444464034512896\left(-1024\right)}$$

Multiply 6277101735386680763835789423207666416102355444464034512896 and -1024 to get -6427752177035961102167848369364650410088811975131171341205504.

$$\frac{-1}{-6427752177035961102167848369364650410088811975131171341205504}$$

Fraction \frac{-1}{-6427752177035961102167848369364650410088811975131171341205504} can be simplified to \frac{1}{6427752177035961102167848369364650410088811975131171341205504} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{6427752177035961102167848369364650410088811975131171341205504}$$

Factor

$$\frac{1}{2 ^ {202}} = 1.5557538194652853 \times 10^{-61}$$